Practical Geometry
Each subtopic includes About section, revision page link, 10 preview questions, and practice CTAs.
Construction of Quadrilaterals given different conditions (sides, diagonals, angles)
SubtopicConstruction of Quadrilaterals given different conditions (sides, diagonals, angles) under Practical Geometry for Grade 8 ICSE.
Preview questions (no answers)
- 1.
To construct a quadrilateral given 2 diagonals and 3 sides, how many triangles are formed that can be constructed first?
A.1
B.2
C.3
D.4
- 2.
How many parameters are needed to construct a unique kite?
A.2
B.3
C.4
D.5
- 3.
Is it possible to construct a unique quadrilateral if the lengths of four sides and the perimeter are given?
A.Yes
B.No, perimeter provides no new information if 4 sides are known
C.Only if it is a kite
D.Only if it is a trapezium
- 4.
When constructing a quadrilateral with 3 sides and 2 included angles, the angles must be between which sides?
A.The given sides
B.Any two sides
C.The diagonals
D.The first and last side only
- 5.
In constructing a quadrilateral with three angles and two included sides, if the sum of the three given angles is , what can you conclude?
A.The construction is possible
B.The construction is impossible as sum exceeds
C.The quadrilateral is concave
D.The quadrilateral is a trapezium
- 6.
To construct a quadrilateral where cm, cm, . What is the measure of needed for construction?
A.B.C.D. - 7.
Which set of measurements allows for the construction of a unique parallelogram ?
A.B.C.D. - 8.
A designer wants to create a quadrilateral window where . Why is this information insufficient to construct a unique quadrilateral?
A.The shape can vary because no angles or diagonals are specified.
B.The sum of any three sides must be less than the fourth side.
C.A quadrilateral must have at least two right angles.
D.The sides do not satisfy the triangle inequality for any diagonal.
- 9.
When constructing a quadrilateral given , and , what is the specific step to locate point ?
A.Draw a ray from at to and cut an arc of .
B.Draw an arc of from .
C.Draw a line parallel to through .
D.Construct a angle at point .
- 10.
A rectangle has side and diagonal . To construct this rectangle, one must first find the length of side using the Pythagorean theorem. What is the length of ?
A.B.C.D.
Download the worksheet for Practical Geometry - Construction of Quadrilaterals given different conditions (sides, diagonals, angles) to practice offline. It includes additional chapter-level practice questions.